86942880 has 144 divisors (see below), whose sum is σ = 299262600. Its totient is φ = 22984704.

The previous prime is 86942857. The next prime is 86942909. The reversal of 86942880 is 8824968.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 898704 = 9276^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248946 + ... + 249294.

Almost surely, 2^86942880 is an apocalyptic number.

86942880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149631300).

86942880 is an abundant number, since it is smaller than the sum of its proper divisors (212319720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86942880 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (86942879) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (543).

86942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86942880 is about 9324.3165969416. The cubic root of 86942880 is about 443.0077672070.

The spelling of 86942880 in words is "eighty-six million, nine hundred forty-two thousand, eight hundred eighty".